December 2021 - Quant Finance Courses

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Month: December 2021

Saturday, 11 December 2021 by admin

Try the following questions on discrete probability and independence. The correct anwers are revealed when you submit your answers.

1. Suppose you toss a coin twice in a row showing either heads (

$H$ ) or tails (

$T$ ) on each toss, for example the outcome could be a tail followed by a head

$(T,H)$ . What is the sample space?

$\Omega = \{(H,T), (H,H), (T,H), (T,T)\}$

$\Omega= \{ (H,H), (T,H), (T,T)\}$

$\Omega= \{ (H,T,H) \}$

$\Omega= \{ H,T \}$

2. On a roll of a die what is the probability of getting less than

$4$ ?

$\frac{1}{6}$

$\frac{1}{2}$

$\frac{5}{6}$

$1$

3. The probability it rains on Sunday given that it rained on Saturday is

$\frac{2}{3}$ .
The probability it rains on Saturday is

$\frac{1}{3}$ . What is the probability it rains on Saturday and doesn't rain on Sunday?

$\frac{1}{2}$

$\frac{2}{3}$

$\frac{1}{3}$

$\frac{1}{9}$

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